FUZZY MEASURES AND FUZZY INTEGRALS - AN OVERVIEW

被引：19
作者：
SIMS, JR [1 ]
WANG, ZY [1 ]
机构：
[1] SUNY BINGHAMTON, DEPT SYST SCI, BINGHAMTON, NY 13901 USA
来源：
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 1990年 / 17卷 / 2-3期
关键词：
CHOQUET CAPACITY; CHOQUET INTEGRAL; DEMPSTER-SHAFER THEORY; FUZZY INTEGRAL; FUZZY MEASURE; SUGENO INTEGRAL; POSSIBILITY THEORY; PROBABILISTIC SET; RANDOM SET; UNCERTAINTY;
D O I：
10.1080/03081079008935106
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper provides an overview of fuzzy measures, fuzzy integration theories and Choquet's capacity theory. Belief, plausibility, and possibility measures are characterized as Choquet capacities and as fuzzy measures. The relationship between possibility measures, fuzzy sets, and approximate reasoning is established. Recent results on extensions of fuzzy measures, structural characteristics of fuzzy measures, and convergence of function sequences on fuzzy measure spaces are presented. Fuzzy measure integration concepts due to Sugeno and Choquet and their applications are discussed. An extensive list of references to the literature of fuzzy measures, Sugeno and Choquet integrals, fuzzy probabilities, fuzzy random variables, probabilistic sets, and random sets is provided. Applications discussed or referenced include information fusion, information retrieval, approximate reasoning, artificial intelligence, uncertainty theory, and control and decision theory. © 1990, Taylor & Francis Group, LLC. All rights reserved.
引用
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页码：157 / 189
页数：33
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